201020100002100 has 108 divisors (see below), whose sum is σ = 643492428057024. Its totient is φ = 52464820415040.

The previous prime is 201020100002089. The next prime is 201020100002107. The reversal of 201020100002100 is 1200001020102.

201020100002100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201020100002107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2376081814 + ... + 2376166413.

Almost surely, 2^{201020100002100} is an apocalyptic number.

201020100002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201020100002100 is an abundant number, since it is smaller than the sum of its proper divisors (442472328054924).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201020100002100 is a wasteful number, since it uses less digits than its factorization.

201020100002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4752248294 (or 4752248284 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 201020100002100 its reverse (1200001020102), we get a palindrome (202220101022202).

The spelling of 201020100002100 in words is "two hundred one trillion, twenty billion, one hundred million, two thousand, one hundred".